465868041912 has 384 divisors, whose sum is σ = 1607703552000. Its totient is φ = 118553103360.

The previous prime is 465868041857. The next prime is 465868041923. The reversal of 465868041912 is 219140868564.

465868041912 is a `hidden beast` number, since 4 + 6 + 586 + 8 + 0 + 41 + 9 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72914014 + ... + 72920402.

It is an arithmetic number, because the mean of its divisors is an integer number (4186728000).

Almost surely, 2^465868041912 is an apocalyptic number.

465868041912 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465868041912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803851776000).

465868041912 is an abundant number, since it is smaller than the sum of its proper divisors (1141835510088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

465868041912 is a wasteful number, since it uses less digits than its factorization.

465868041912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6811 (or 6804 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 465868041912 in words is "four hundred sixty-five billion, eight hundred sixty-eight million, forty-one thousand, nine hundred twelve".